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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 195 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  2. 2.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −5/35
  3. 3.What is (−2/5) + 2/3? (a) −16/15 (b) −4/15 (c) 0 (d) 4/15
  4. 4.Write −6/30 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −6/30 (c) 1/5 (d) −1/5
  5. 5.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  6. 6.What is 4/5 − (−5/7)? (a) −53/35 (b) 3/35 (c) 3/4 (d) 53/35
  7. 7.What is (−2/5) + (−4/9)? (a) 2/45 (b) 38/45 (c) −38/45 (d) −3/7
  8. 8.Which is bigger: −6/7 or −1/9? (a) −1/9 (b) −6/7
  9. 9.Which is smaller: −5/7 or 1/8? (a) 1/8 (b) −5/7
  10. 10.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Is −2/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  13. 13.What is (−5/6) + (−4/7)? (a) −11/42 (b) −9/13 (c) 59/42 (d) −59/42
  14. 14.Which is bigger: −5/6 or −3/4? (a) −3/4 (b) −5/6
  15. 15.Which is smaller: −1/3 or −4/7? (a) −4/7 (b) −1/3
  16. 16.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −1/3 or −8/9? (a) −8/9 (b) −1/3
  18. 18.What is (−1/5) − 5/9? (a) −3/7 (b) 16/45 (c) −34/45 (d) 34/45
  19. 19.What is 5/7 + (−4/7)? (a) 1/7 (b) 9/7 (c) −1/7 (d) 1/14
  20. 20.What is the additive inverse of 7/9? (a) −7/9 (b) 9/7 (c) −9/7 (d) 7/9
  21. 21.Is −5/3 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −6/7 or −4/7? (a) −6/7 (b) −4/7
  23. 23.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  24. 24.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −15/24 (d) −8/5
  25. 25.What is 3/5 + (−1/8)? (a) 2/13 (b) −19/40 (c) 29/40 (d) 19/40
  26. 26.What is (−5/9) − (−2/7)? (a) −53/63 (b) −3/16 (c) −17/63 (d) 17/63
  27. 27.Which is bigger: −7/8 or −3/8? (a) −3/8 (b) −7/8
  28. 28.What is the additive inverse of 1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  29. 29.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −2/3 or −1/5? (a) −1/5 (b) −2/3
  31. 31.Is 6/8 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −3/8 or 4/9? (a) −3/8 (b) 4/9
  33. 33.What is (−4/7) + 4/9? (a) −8/63 (b) −64/63 (c) 0 (d) 8/63
  34. 34.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  35. 35.What is (−2/9) − 3/4? (a) 35/36 (b) −35/36 (c) 19/36 (d) −5/13
  36. 36.What is (−2/3) − 2/7? (a) 20/21 (b) −2/5 (c) −8/21 (d) −20/21
  37. 37.What is 1/9 + (−1/2)? (a) 7/18 (b) 11/18 (c) −7/18 (d) 0
  38. 38.What is (−4/5) − 5/8? (a) −7/40 (b) −9/13 (c) 57/40 (d) −57/40
  39. 39.What is (−5/8) + (−5/7)? (a) −75/56 (b) 5/56 (c) −2/3 (d) 75/56
  40. 40.Which is bigger: −5/9 or −1/7? (a) −1/7 (b) −5/9

Answer key

  1. Positive
  2. −1/7
  3. 4/15
  4. −1/5
  5. −2/9
  6. 53/35
  7. −38/45
  8. −1/9
  9. −5/7
  10. Negative
  11. Negative
  12. −6/5
  13. −59/42
  14. −3/4
  15. −4/7
  16. Negative
  17. −8/9
  18. −34/45
  19. 1/7
  20. −7/9
  21. Negative
  22. −6/7
  23. Negative
  24. −5/8
  25. 19/40
  26. −17/63
  27. −3/8
  28. −1/6
  29. Negative
  30. −1/5
  31. Positive
  32. −3/8
  33. −8/63
  34. 9
  35. −35/36
  36. −20/21
  37. −7/18
  38. −57/40
  39. −75/56
  40. −1/7

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